Khan, Muhammad GhaffarAhmad, BakhtiarMurugusundaramoorthy, GangadharanMashwani, Wali KhanYalçın, SibelShaba, Timilehin GideonSalleh, Zabidin2024-10-142024-10-142022-01-012008-949Xhttps://doi.org/10.22436/jmcs.025.01.04https://www.isr-publications.com/jmcs/articles-9829-third-hankel-determinant-and-zalcman-functional-for-a-class-of-starlike-functions-with-respect-to-symmetric-points-related-with-sine-functionhttps://eprints.lmu.edu.ng/5395/1/third_hankel_determinant_and_zalcman_functional_for_a_class_of_starlike_functions_with_respect_to_symmetric_points_related_with_sine_function-1620112426%20%281%29.pdfhttps://hdl.handle.net/11452/46388In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class. We also evaluate the Zalcman functiona vertical bar a2/3 - a(5)vertical bar. Specializing the parameters, we improve Zalcman functional for the class of starlike functions.eninfo:eu-repo/semantics/openAccessCoefficientConjectureBoundsAnalytic functionsSubordinationsSine functionHankel determinantZalcman functionalScience & technologyPhysical sciencesMathematicsArticle000654262000004293625110.22436/jmcs.025.01.04